[ExI] who should white shoot?

[Eric Messick]

>Assumptions:
>
>  Everyone acts in their own best interest.  As others have already
>  pointed out, this means that each person shoots at the best shooter
>  left standing at each opportunity.

Oops, I forgot White's option to choose to miss the first shot, as
spike pointed out.  That raises White's chance of survival to 39.7%,
better even than Brown's 38.1%.  Black even fairs better than if White
tries to hit him, at 22.2%.  Curious indeed.

>So, White walks away 2/27 + 15/63, or about 31.2% of the time.
>    Brown walks away 2/9 + 20/63,  or about 54.0% of the time.
>    Black walks away 4/27,         or about 14.8% of the time.

-eric